In [1]:
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from matplotlib import cm
import numpy as np
from IPython.display import display, Math, Latex
import pylab
import itertools
import plot_methods
import optimization_methods
%matplotlib inline
In [2]:
my_function_sphere = lambda x, y, z: x+2*y+3*z
In [7]:
-1/pow(14.0, 0.5), -pow(2/7, 0.5), -3/pow(14.0, 0.5)#answer
Out[7]:
(-0.2672612419124244, -0.5345224838248488, -0.8017837257372732)
In [3]:
res_sphere = optimization_methods.gradient_projection(func=my_function_sphere, eps=1e-5, params=[1,2,1], 
                projection_function=optimization_methods.sphere_projection, projection_func_args = [1, [0,0,0]])

number of iteration: 2, current point: [0.40895322 0.81790644 0.40470524], function value: 3.2588818001122677
number of iteration: 3, current point: [0.40945319 0.81890638 0.40216964], function value: 3.2537748695780846
number of iteration: 4, current point: [0.40995245 0.8199049  0.3996185 ], function value: 3.2486177412891744
number of iteration: 5, current point: [0.41045095 0.8209019  0.39705175], function value: 3.2434100029993367
number of iteration: 6, current point: [0.41094864 0.82189729 0.39446934], function value: 3.238151240805243
number of iteration: 7, current point: [0.41144549 0.82289099 0.39187119], function value: 3.2328410391798985
number of iteration: 8, current point: [0.41194145 0.82388291 0.38925724], function value: 3.2274789810073274
number of iteration: 9, current point: [0.41243648 0.82487295 0.38662742], function value: 3.222064647618096
number of iteration: 10, current point: [0.41293052 0.82586104 0.38398167], function value: 3.2165976188257925
number of iteration: 11, current point: [0.41342354 0.82684708 0.38131993], function value: 3.2110774729654796
number of iteration: 12, current point: [0.41391549 0.82783097 0.37864212], function value: 3.205503786932086
number of iteration: 13, current point: [0.41440631 0.82881262 0.37594819], function value: 3.1998761362211754
number of iteration: 14, current point: [0.41489597 0.82979194 0.37323808], function value: 3.1941940949700744
number of iteration: 15, current point: [0.41538442 0.83076883 0.37051172], function value: 3.188457236000545
number of iteration: 16, current point: [0.4158716  0.83174319 0.36776905], function value: 3.182665130862971
number of iteration: 17, current point: [0.41635747 0.83271493 0.36501001], function value: 3.176817349880782
number of iteration: 18, current point: [0.41684197 0.83368394 0.36223454], function value: 3.170913462197529
number of iteration: 19, current point: [0.41732506 0.83465012 0.35944258], function value: 3.164953035824059
number of iteration: 20, current point: [0.41780669 0.83561338 0.35663407], function value: 3.158935637687655
number of iteration: 21, current point: [0.4182868  0.8365736  0.35380895], function value: 3.152860833682235
number of iteration: 22, current point: [0.41876534 0.83753068 0.35096716], function value: 3.146728188719907
number of iteration: 23, current point: [0.41924226 0.83848452 0.34810866], function value: 3.1405372667837312
number of iteration: 24, current point: [0.41971751 0.83943501 0.34523337], function value: 3.1342876309821337
number of iteration: 25, current point: [0.42019102 0.84038204 0.34234125], function value: 3.1279788436044687
number of iteration: 26, current point: [0.42066275 0.84132551 0.33943223], function value: 3.1216104661779878
number of iteration: 27, current point: [0.42113265 0.84226529 0.33650628], function value: 3.1151820595261155
number of iteration: 28, current point: [0.42160064 0.84320129 0.33356332], function value: 3.1086931838285454
number of iteration: 29, current point: [0.42206669 0.84413338 0.33060332], function value: 3.1021433986820606
number of iteration: 30, current point: [0.42253072 0.84506145 0.32762621], function value: 3.0955322631636553
number of iteration: 31, current point: [0.42299269 0.84598539 0.32463196], function value: 3.0888593358939267
number of iteration: 32, current point: [0.42345254 0.84690507 0.3216205 ], function value: 3.082124175103472
number of iteration: 33, current point: [0.4239102  0.84782039 0.31859178], function value: 3.075326338699445
number of iteration: 34, current point: [0.42436561 0.84873122 0.31554577], function value: 3.068465384334203
number of iteration: 35, current point: [0.42481872 0.84963745 0.31248242], function value: 3.061540869475197
number of iteration: 36, current point: [0.42526947 0.85053894 0.30940167], function value: 3.054552351476786
number of iteration: 37, current point: [0.42571779 0.85143558 0.30630348], function value: 3.0474993876531213
number of iteration: 38, current point: [0.42616362 0.85232724 0.30318781], function value: 3.040381535352935
number of iteration: 39, current point: [0.4266069  0.85321379 0.30005462], function value: 3.033198352035137
number of iteration: 40, current point: [0.42704756 0.85409512 0.29690386], function value: 3.025949395347352
number of iteration: 41, current point: [0.42748555 0.85497109 0.2937355 ], function value: 3.0186342232047254
number of iteration: 42, current point: [0.42792079 0.85584157 0.29054949], function value: 3.0112523938706017
number of iteration: 43, current point: [0.42835322 0.85670644 0.28734579], function value: 3.003803466039373
number of iteration: 44, current point: [0.42878277 0.85756555 0.28412438], function value: 2.99628699892016
number of iteration: 45, current point: [0.42920939 0.85841878 0.2808852 ], function value: 2.988702552322559
number of iteration: 46, current point: [0.429633   0.859266   0.27762823], function value: 2.9810496867440968
number of iteration: 47, current point: [0.43005353 0.86010706 0.27435344], function value: 2.9733279634585736
number of iteration: 48, current point: [0.43047092 0.86094183 0.27106079], function value: 2.9655369446069413
number of iteration: 49, current point: [0.43088509 0.86177018 0.26775025], function value: 2.957676193289169
number of iteration: 50, current point: [0.43129598 0.86259196 0.26442179], function value: 2.9497452736578778
number of iteration: 51, current point: [0.43170352 0.86340704 0.26107538], function value: 2.9417437510139863
number of iteration: 52, current point: [0.43210763 0.86421527 0.25771101], function value: 2.933671191903289
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number of iteration: 58, current point: [0.43445639 0.86891278 0.23714601], function value: 2.8837199800804916
number of iteration: 59, current point: [0.43483451 0.86966902 0.23365521], function value: 2.8751381546940276
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number of iteration: 66, current point: [0.43736474 0.87472948 0.20871131], function value: 2.812957639565915
number of iteration: 67, current point: [0.43770862 0.87541723 0.2050752 ], function value: 2.803768681363817
number of iteration: 68, current point: [0.43804786 0.87609571 0.20142091], function value: 2.794502006223738
number of iteration: 69, current point: [0.43838238 0.87676476 0.19774844], function value: 2.7851572182760855
number of iteration: 70, current point: [0.43871211 0.87742422 0.19405779], function value: 2.7757339249197113
number of iteration: 71, current point: [0.43903696 0.87807392 0.19034898], function value: 2.766231736949641
number of iteration: 72, current point: [0.43935685 0.87871371 0.186622  ], function value: 2.756650268685716
number of iteration: 73, current point: [0.43967171 0.87934341 0.18287687], function value: 2.746989138103408
number of iteration: 74, current point: [0.43998144 0.87996287 0.1791136 ], function value: 2.7372479669656444
number of iteration: 75, current point: [0.44028596 0.88057191 0.1753322 ], function value: 2.7274263809562456
number of iteration: 76, current point: [0.44058519 0.88117037 0.17153269], function value: 2.717524009814748
number of iteration: 77, current point: [0.44087904 0.88175808 0.16771509], function value: 2.707540487472712
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number of iteration: 88, current point: [0.44373213 0.88746427 0.124535  ], function value: 2.5922656830473123
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number of iteration: 1455, current point: [-0.26646402 -0.53292804 -0.80310935], function value: -3.741648154088584
number of iteration: 1456, current point: [-0.26646847 -0.53293695 -0.80310196], function value: -3.74164825685909
number of iteration: 1457, current point: [-0.2664729  -0.53294581 -0.80309461], function value: -3.7416483584856435
number of iteration: 1458, current point: [-0.26647731 -0.53295461 -0.80308731], function value: -3.7416484589809746
number of iteration: 1459, current point: [-0.26648169 -0.53296337 -0.80308004], function value: -3.7416485583576797
number of iteration: 1460, current point: [-0.26648604 -0.53297208 -0.80307282], function value: -3.7416486566282066
number of iteration: 1461, current point: [-0.26649037 -0.53298074 -0.80306564], function value: -3.74164875380487
number of iteration: 1462, current point: [-0.26649468 -0.53298935 -0.80305849], function value: -3.741648849899845
number of iteration: 1463, current point: [-0.26649896 -0.53299791 -0.80305139], function value: -3.7416489449251737
number of iteration: 1464, current point: [-0.26650321 -0.53300643 -0.80304432], function value: -3.7416490388927603
number of iteration: 1465, current point: [-0.26650745 -0.5330149  -0.8030373 ], function value: -3.741649131814379
number of iteration: 1466, current point: [-0.26651166 -0.53302332 -0.80303031], function value: -3.7416492237016743
number of iteration: 1467, current point: [-0.26651585 -0.53303169 -0.80302336], function value: -3.741649314566158
number of iteration: 1468, current point: [-0.26652001 -0.53304002 -0.80301645], function value: -3.7416494044192152
number of iteration: 1469, current point: [-0.26652415 -0.5330483  -0.80300958], function value: -3.7416494932721047
number of iteration: 1470, current point: [-0.26652827 -0.53305653 -0.80300275], function value: -3.7416495811359587
number of iteration: 1471, current point: [-0.26653236 -0.53306472 -0.80299596], function value: -3.741649668021788
number of iteration: 1472, current point: [-0.26653643 -0.53307286 -0.8029892 ], function value: -3.7416497539404765
number of iteration: 1473, current point: [-0.26654048 -0.53308096 -0.80298248], function value: -3.741649838902793
number of iteration: 1474, current point: [-0.26654451 -0.53308901 -0.8029758 ], function value: -3.7416499229193794
number of iteration: 1475, current point: [-0.26654851 -0.53309702 -0.80296915], function value: -3.741650006000765
number of iteration: 1476, current point: [-0.26655249 -0.53310498 -0.80296255], function value: -3.7416500881573582
number of iteration: 1477, current point: [-0.26655645 -0.5331129  -0.80295598], function value: -3.7416501693994553
number of iteration: 1478, current point: [-0.26656038 -0.53312077 -0.80294944], function value: -3.7416502497372326
number of iteration: 1479, current point: [-0.2665643  -0.5331286  -0.80294295], function value: -3.741650329180758
number of iteration: 1480, current point: [-0.26656819 -0.53313638 -0.80293648], function value: -3.7416504077399866
number of iteration: 1481, current point: [-0.26657206 -0.53314412 -0.80293006], function value: -3.741650485424758
number of iteration: 1482, current point: [-0.26657591 -0.53315182 -0.80292367], function value: -3.74165056224481
number of iteration: 1483, current point: [-0.26657974 -0.53315948 -0.80291732], function value: -3.741650638209766
number of iteration: 1484, current point: [-0.26658354 -0.53316709 -0.802911  ], function value: -3.7416507133291446
number of iteration: 1485, current point: [-0.26658733 -0.53317466 -0.80290471], function value: -3.7416507876123575
number of iteration: 1486, current point: [-0.26659109 -0.53318219 -0.80289846], function value: -3.7416508610687123
number of iteration: 1487, current point: [-0.26659484 -0.53318967 -0.80289225], function value: -3.7416509337074135
number of iteration: 1488, current point: [-0.26659856 -0.53319712 -0.80288607], function value: -3.741651005537561
number of iteration: 1489, current point: [-0.26660226 -0.53320452 -0.80287993], function value: -3.7416510765681563
number of iteration: 1490, current point: [-0.26660594 -0.53321188 -0.80287382], function value: -3.741651146808099
number of iteration: 1491, current point: [-0.2666096  -0.5332192  -0.80286774], function value: -3.74165121626619
number of iteration: 1492, current point: [-0.26661324 -0.53322648 -0.8028617 ], function value: -3.7416512849511325
number of iteration: 1493, current point: [-0.26661686 -0.53323372 -0.80285569], function value: -3.741651352871532
number of iteration: 1494, current point: [-0.26662046 -0.53324091 -0.80284971], function value: -3.7416514200358995
number of iteration: 1495, current point: [-0.26662404 -0.53324807 -0.80284377], function value: -3.7416514864526484
Precision: 9.967263183023304e-06
In [4]:
my_function_hyperplane = lambda x, y, z: 2*x**2+3*y**2+z**2
In [8]:
9/41, 4/41, 6/41
Out[8]:
(0.21951219512195122, 0.0975609756097561, 0.14634146341463414)
In [5]:
res_hyperplane = optimization_methods.gradient_projection(func=my_function_hyperplane, eps=1e-5, params=[1,2,1], 
                projection_function=optimization_methods.hyperplane_projection, projection_func_args = [1, [3,2,1]])

number of iteration: 2, current point: [-0.48858636  0.98272266  0.50031376], function value: 3.6249786240785213
number of iteration: 3, current point: [-0.48342726  0.97536322  0.49955535], function value: 3.5709595827880167
number of iteration: 4, current point: [-0.47830809  0.96806402  0.49879622], function value: 3.5177987578213186
number of iteration: 5, current point: [-0.47322852  0.96082459  0.4980364 ], function value: 3.465482383711808
number of iteration: 6, current point: [-0.46818826  0.95364443  0.49727592], function value: 3.4139969166482858
number of iteration: 7, current point: [-0.46318698  0.94652306  0.49651481], function value: 3.363329030900133
number of iteration: 8, current point: [-0.45822437  0.93946001  0.4957531 ], function value: 3.3134656153007818
number of iteration: 9, current point: [-0.45330013  0.9324548   0.4949908 ], function value: 3.2643937697862273
number of iteration: 10, current point: [-0.44841396  0.92550696  0.49422795], function value: 3.2161008019922375
number of iteration: 11, current point: [-0.44356554  0.91861602  0.49346458], function value: 3.1685742239029295
number of iteration: 12, current point: [-0.43875458  0.91178152  0.49270071], function value: 3.1218017485561487
number of iteration: 13, current point: [-0.43398078  0.90500299  0.49193636], function value: 3.075771286801838
number of iteration: 14, current point: [-0.42924385  0.89828     0.49117157], function value: 3.0304709441104527
number of iteration: 15, current point: [-0.4245435   0.89161207  0.49040635], function value: 2.9858890174357233
number of iteration: 16, current point: [-0.41987943  0.88499877  0.48964074], function value: 2.9420139921260424
number of iteration: 17, current point: [-0.41525135  0.87843965  0.48887475], function value: 2.8988345388868884
number of iteration: 18, current point: [-0.41065898  0.87193427  0.48810841], function value: 2.8563395107915936
number of iteration: 19, current point: [-0.40610204  0.86548218  0.48734175], function value: 2.814517940340358
number of iteration: 20, current point: [-0.40158024  0.85908297  0.48657478], function value: 2.773359036567327
number of iteration: 21, current point: [-0.39709331  0.85273619  0.48580754], function value: 2.7328521821940024
number of iteration: 22, current point: [-0.39264096  0.84644142  0.48504005], function value: 2.6929869308275394
number of iteration: 23, current point: [-0.38822293  0.84019824  0.48427232], function value: 2.653753004206598
number of iteration: 24, current point: [-0.38383894  0.83400622  0.48350439], function value: 2.6151402894892875
number of iteration: 25, current point: [-0.37948873  0.82786495  0.48273627], function value: 2.577138836586659
number of iteration: 26, current point: [-0.37517201  0.82177402  0.48196799], function value: 2.5397388555375606
number of iteration: 27, current point: [-0.37088854  0.81573302  0.48119957], function value: 2.502930713927167
number of iteration: 28, current point: [-0.36663803  0.80974154  0.48043103], function value: 2.4667049343475034
number of iteration: 29, current point: [-0.36242024  0.80379917  0.47966239], function value: 2.4310521918964083
number of iteration: 30, current point: [-0.35823491  0.79790552  0.47889367], function value: 2.395963311720586
number of iteration: 31, current point: [-0.35408176  0.79206019  0.4781249 ], function value: 2.3614292665949583
number of iteration: 32, current point: [-0.34996056  0.78626279  0.4773561 ], function value: 2.3274411745428525
number of iteration: 33, current point: [-0.34587105  0.78051293  0.47658728], function value: 2.2939902964942487
number of iteration: 34, current point: [-0.34181297  0.77481022  0.47581847], function value: 2.2610680339816587
number of iteration: 35, current point: [-0.33778607  0.76915427  0.47504969], function value: 2.2286659268736333
number of iteration: 36, current point: [-0.33379012  0.7635447   0.47428095], function value: 2.1967756511442187
number of iteration: 37, current point: [-0.32982486  0.75798115  0.47351228], function value: 2.1653890166784557
number of iteration: 38, current point: [-0.32589005  0.75246322  0.4727437 ], function value: 2.134497965113919
number of iteration: 39, current point: [-0.32198545  0.74699056  0.47197522], function value: 2.10409456771659
number of iteration: 40, current point: [-0.31811082  0.74156279  0.47120687], function value: 2.0741710232908996
number of iteration: 41, current point: [-0.31426592  0.73617955  0.47043866], function value: 2.044719656123515
number of iteration: 42, current point: [-0.31045052  0.73084047  0.46967061], function value: 2.0157329139613296
number of iteration: 43, current point: [-0.30666438  0.7255452   0.46890274], function value: 1.9872033660202735
number of iteration: 44, current point: [-0.30290727  0.72029337  0.46813507], function value: 1.9591237010275777
number of iteration: 45, current point: [-0.29917897  0.71508464  0.46736762], function value: 1.9314867252952477
number of iteration: 46, current point: [-0.29547923  0.70991865  0.46660041], function value: 1.9042853608247523
number of iteration: 47, current point: [-0.29180785  0.70479505  0.46583344], function value: 1.8775126434418865
number of iteration: 48, current point: [-0.28816459  0.69971351  0.46506675], function value: 1.8511617209622682
number of iteration: 49, current point: [-0.28454923  0.69467367  0.46430034], function value: 1.8252258513859017
number of iteration: 50, current point: [-0.28096154  0.6896752   0.46353423], function value: 1.7996984011214494
number of iteration: 51, current point: [-0.27740132  0.68471776  0.46276845], function value: 1.7745728432385266
number of iteration: 52, current point: [-0.27386834  0.67980101  0.462003  ], function value: 1.749842755748795
number of iteration: 53, current point: [-0.27036239  0.67492463  0.4612379 ], function value: 1.725501819914181
number of iteration: 54, current point: [-0.26688325  0.67008829  0.46047318], function value: 1.701543818583156
number of iteration: 55, current point: [-0.26343071  0.66529165  0.45970884], function value: 1.6779626345530068
number of iteration: 56, current point: [-0.26000457  0.6605344   0.4589449 ], function value: 1.6547522489591604
number of iteration: 57, current point: [-0.2566046   0.65581621  0.45818138], function value: 1.6319067396901643
number of iteration: 58, current point: [-0.25323061  0.65113678  0.45741829], function value: 1.6094202798284662
number of iteration: 59, current point: [-0.24988239  0.64649577  0.45665564], function value: 1.587287136116207
number of iteration: 60, current point: [-0.24655974  0.64189288  0.45589346], function value: 1.5655016674454685
number of iteration: 61, current point: [-0.24326245  0.6373278   0.45513176], function value: 1.5440583233737517
number of iteration: 62, current point: [-0.23999033  0.63280021  0.45437055], function value: 1.5229516426626188
number of iteration: 63, current point: [-0.23674316  0.62830983  0.45360984], function value: 1.5021762518399133
number of iteration: 64, current point: [-0.23352077  0.62385633  0.45284966], function value: 1.4817268637857128
number of iteration: 65, current point: [-0.23032295  0.61943942  0.45209001], function value: 1.4615982763407442
number of iteration: 66, current point: [-0.2271495   0.6150588   0.45133091], function value: 1.4417853709370645
number of iteration: 67, current point: [-0.22400024  0.61071418  0.45057237], function value: 1.4222831112514462
number of iteration: 68, current point: [-0.22087498  0.60640526  0.44981441], function value: 1.4030865418797307
number of iteration: 69, current point: [-0.21777352  0.60213176  0.44905703], function value: 1.3841907870331451
number of iteration: 70, current point: [-0.21469567  0.59789337  0.44830026], function value: 1.3655910492554926
number of iteration: 71, current point: [-0.21164126  0.59368983  0.44754411], function value: 1.3472826081606464
number of iteration: 72, current point: [-0.20861009  0.58952083  0.44678859], function value: 1.3292608191913715
number of iteration: 73, current point: [-0.20560198  0.58538611  0.4460337 ], function value: 1.3115211123969208
number of iteration: 74, current point: [-0.20261675  0.58128538  0.44527947], function value: 1.2940589912313079
number of iteration: 75, current point: [-0.19965422  0.57721837  0.44452591], function value: 1.2768700313707126
number of iteration: 76, current point: [-0.19671421  0.57318479  0.44377303], function value: 1.2599498795495874
number of iteration: 77, current point: [-0.19379654  0.56918439  0.44302084], function value: 1.243294252416092
number of iteration: 78, current point: [-0.19090103  0.56521687  0.44226935], function value: 1.226898935405758
number of iteration: 79, current point: [-0.18802752  0.56128199  0.44151858], function value: 1.210759781633005
number of iteration: 80, current point: [-0.18517583  0.55737948  0.44076853], function value: 1.1948727108012294
number of iteration: 81, current point: [-0.18234578  0.55350906  0.44001922], function value: 1.1792337081297979
number of iteration: 82, current point: [-0.1795372   0.54967047  0.43927067], function value: 1.1638388232988655
number of iteration: 83, current point: [-0.17674994  0.54586347  0.43852287], function value: 1.148684169410672
number of iteration: 84, current point: [-0.17398381  0.54208779  0.43777584], function value: 1.133765921968312
number of iteration: 85, current point: [-0.17123865  0.53834317  0.4370296 ], function value: 1.1190803178702176
number of iteration: 86, current point: [-0.16851429  0.53462936  0.43628415], function value: 1.1046236544213324
number of iteration: 87, current point: [-0.16581058  0.53094611  0.43553951], function value: 1.0903922883602049
number of iteration: 88, current point: [-0.16312735  0.52729318  0.43479568], function value: 1.0763826349015908
number of iteration: 89, current point: [-0.16046443  0.52367031  0.43405268], function value: 1.0625911667945451
number of iteration: 90, current point: [-0.15782167  0.52007725  0.43331051], function value: 1.0490144133958572
number of iteration: 91, current point: [-0.15519892  0.51651378  0.43256919], function value: 1.0356489597583853
number of iteration: 92, current point: [-0.152596    0.51297964  0.43182872], function value: 1.0224914457338172
number of iteration: 93, current point: [-0.15001277  0.50947459  0.43108912], function value: 1.0095385650902913
number of iteration: 94, current point: [-0.14744907  0.5059984   0.4303504 ], function value: 0.9967870646440256
number of iteration: 95, current point: [-0.14490474  0.50255084  0.42961255], function value: 0.9842337434051178
number of iteration: 96, current point: [-0.14237964  0.49913166  0.42887561], function value: 0.9718754517368509
number of iteration: 97, current point: [-0.13987361  0.49574064  0.42813956], function value: 0.9597090905287451
number of iteration: 98, current point: [-0.13738651  0.49237755  0.42740443], function value: 0.9477316103830379
number of iteration: 99, current point: [-0.13491818  0.48904216  0.42667022], function value: 0.9359400108140887
number of iteration: 100, current point: [-0.13246848  0.48573424  0.42593694], function value: 0.9243313394607705
number of iteration: 101, current point: [-0.13003725  0.48245358  0.4252046 ], function value: 0.9129026913116249
number of iteration: 102, current point: [-0.12762436  0.47919994  0.42447321], function value: 0.9016512079423733
number of iteration: 103, current point: [-0.12522966  0.47597311  0.42374278], function value: 0.8905740767658332
number of iteration: 104, current point: [-0.12285301  0.47277287  0.42301331], function value: 0.8796685302939595
number of iteration: 105, current point: [-0.12049427  0.469599    0.42228481], function value: 0.8689318454117132
number of iteration: 106, current point: [-0.11815329  0.46645128  0.42155729], function value: 0.8583613426626193
number of iteration: 107, current point: [-0.11582993  0.46332951  0.42083077], function value: 0.8479543855459086
number of iteration: 108, current point: [-0.11352406  0.46023347  0.42010524], function value: 0.8377083798250521
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number of iteration: 110, current point: [-0.10896423  0.45411775  0.4186572 ], function value: 0.8176890528740637
number of iteration: 111, current point: [-0.10671001  0.45109765  0.41793471], function value: 0.8079107484228175
number of iteration: 112, current point: [-0.10447272  0.44810246  0.41721325], function value: 0.7982834276185928
number of iteration: 113, current point: [-0.10225225  0.44513196  0.41649282], function value: 0.7888046975566001
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number of iteration: 118, current point: [-0.09139746  0.43064296  0.41290647], function value: 0.7435588064339389
number of iteration: 119, current point: [-0.08927512  0.42781647  0.4121924 ], function value: 0.7349234743802194
number of iteration: 120, current point: [-0.08716868  0.42501331  0.41147942], function value: 0.7264210224637677
number of iteration: 121, current point: [-0.08507803  0.42223329  0.41076752], function value: 0.7180493477889142
number of iteration: 122, current point: [-0.08300304  0.4194762   0.41005673], function value: 0.7098063811354336
number of iteration: 123, current point: [-0.08094359  0.41674187  0.40934704], function value: 0.7016900864167113
number of iteration: 124, current point: [-0.07889956  0.41403011  0.40863845], function value: 0.6936984601465632
number of iteration: 125, current point: [-0.07687082  0.41134073  0.40793099], function value: 0.6858295309146064
number of iteration: 126, current point: [-0.07485725  0.40867356  0.40722464], function value: 0.6780813588702823
number of iteration: 127, current point: [-0.07285874  0.40602841  0.40651942], function value: 0.6704520352149581
number of iteration: 128, current point: [-0.07087518  0.4034051   0.40581533], function value: 0.6629396817023641
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number of iteration: 136, current point: [-0.05553057  0.3831838   0.40022411], function value: 0.6068360893883914
number of iteration: 137, current point: [-0.05367629  0.3807492   0.39953046], function value: 0.6002967500644274
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number of iteration: 140, current point: [-0.04819589  0.3735655   0.39745668], function value: 0.581271047983692
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number of iteration: 1497, current point: [0.21859122 0.09727321 0.14967991], function value: 0.1463545534777386
number of iteration: 1498, current point: [0.21859423 0.09727412 0.14966906], function value: 0.1463544684817553
number of iteration: 1499, current point: [0.21859723 0.09727503 0.14965824], function value: 0.14635438403767334
number of iteration: 1500, current point: [0.21860022 0.09727594 0.14964746], function value: 0.1463543001419091
number of iteration: 1501, current point: [0.2186032  0.09727684 0.14963671], function value: 0.14635421679090202
number of iteration: 1502, current point: [0.21860617 0.09727775 0.149626  ], function value: 0.1463541339811147
number of iteration: 1503, current point: [0.21860913 0.09727864 0.14961532], function value: 0.14635405170903276
number of iteration: 1504, current point: [0.21861208 0.09727954 0.14960467], function value: 0.1463539699711646
number of iteration: 1505, current point: [0.21861502 0.09728043 0.14959406], function value: 0.14635388876404135
number of iteration: 1506, current point: [0.21861795 0.09728132 0.14958349], function value: 0.14635380808421652
number of iteration: 1507, current point: [0.21862088 0.09728221 0.14957295], function value: 0.1463537279282663
number of iteration: 1508, current point: [0.21862379 0.0972831  0.14956244], function value: 0.14635364829278863
number of iteration: 1509, current point: [0.21862669 0.09728398 0.14955197], function value: 0.14635356917440417
number of iteration: 1510, current point: [0.21862958 0.09728486 0.14954153], function value: 0.146353490569755
number of iteration: 1511, current point: [0.21863247 0.09728574 0.14953113], function value: 0.14635341247550518
number of iteration: 1512, current point: [0.21863534 0.09728661 0.14952076], function value: 0.14635333488834054
number of iteration: 1513, current point: [0.21863821 0.09728748 0.14951042], function value: 0.14635325780496833
number of iteration: 1514, current point: [0.21864106 0.09728835 0.14950012], function value: 0.14635318122211716
number of iteration: 1515, current point: [0.21864391 0.09728922 0.14948985], function value: 0.14635310513653693
number of iteration: 1516, current point: [0.21864674 0.09729008 0.14947961], function value: 0.14635302954499865
number of iteration: 1517, current point: [0.21864957 0.09729094 0.14946941], function value: 0.14635295444429422
number of iteration: 1518, current point: [0.21865239 0.0972918  0.14945924], function value: 0.14635287983123663
number of iteration: 1519, current point: [0.2186552  0.09729265 0.1494491 ], function value: 0.14635280570265918
number of iteration: 1520, current point: [0.218658   0.09729351 0.149439  ], function value: 0.14635273205541605
number of iteration: 1521, current point: [0.21866079 0.09729436 0.14942893], function value: 0.1463526588863816
number of iteration: 1522, current point: [0.21866357 0.09729521 0.14941889], function value: 0.14635258619245076
number of iteration: 1523, current point: [0.21866634 0.09729605 0.14940888], function value: 0.1463525139705384
number of iteration: 1524, current point: [0.2186691  0.09729689 0.14939891], function value: 0.1463524422175795
number of iteration: 1525, current point: [0.21867185 0.09729773 0.14938897], function value: 0.14635237093052897
number of iteration: 1526, current point: [0.2186746  0.09729857 0.14937906], function value: 0.1463523001063614
number of iteration: 1527, current point: [0.21867733 0.09729941 0.14936918], function value: 0.14635222974207132
number of iteration: 1528, current point: [0.21868006 0.09730024 0.14935934], function value: 0.14635215983467234
number of iteration: 1529, current point: [0.21868278 0.09730107 0.14934953], function value: 0.14635209038119776
number of iteration: 1530, current point: [0.21868549 0.0973019  0.14933975], function value: 0.14635202137870001
number of iteration: 1531, current point: [0.21868819 0.09730272 0.14933   ], function value: 0.14635195282425084
number of iteration: 1532, current point: [0.21869088 0.09730354 0.14932028], function value: 0.14635188471494082
number of iteration: 1533, current point: [0.21869356 0.09730436 0.1493106 ], function value: 0.1463518170478794
number of iteration: 1534, current point: [0.21869623 0.09730518 0.14930094], function value: 0.146351749820195
number of iteration: 1535, current point: [0.2186989  0.09730599 0.14929132], function value: 0.14635168302903456
number of iteration: 1536, current point: [0.21870155 0.09730681 0.14928173], function value: 0.14635161667156354
Precision: 9.984904142541478e-06
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